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171.
172.
实Clifford分析中六类拟Bochner-Martinelli型高阶奇异积分的几个问题 总被引:10,自引:0,他引:10
本文借助于Hadamard关于高阶奇异积分有限部分的思想,研究关于实 Clifford分析中六个类型(含一个奇点或二个奇点的)拟Bochner-Martinelli型高阶奇异积分的归纳定义、Hadamard主值的存在性、递推公式、计算公式、微分公式、Poincare-Bertrand置换公式以及拟B-M型高阶奇异积分的Holder连续性等问题.这些问题是研究单、多元复分析的学者们在研究奇异积分时,通常要涉及到的几个问题. 相似文献
173.
We consider in this paper random flights in ℝ
d
performed by a particle changing direction of motion at Poisson times. Directions are uniformly distributed on hyperspheres
S
1
d
. We obtain the conditional characteristic function of the position of the particle after n changes of direction. From this characteristic function we extract the conditional distributions in terms of (n+1)−fold integrals of products of Bessel functions. These integrals can be worked out in simple terms for spaces of dimension
d=2 and d=4. In these two cases also the unconditional distribution is determined in explicit form. Some distributions connected with
random flights in ℝ3 are discussed and in some special cases are analyzed in full detail. We point out that a strict connection between these
types of motions with infinite directions and the equation of damped waves holds only for d=2.
Related motions with random velocity in spaces of lower dimension are analyzed and their distributions derived. 相似文献
174.
《Analytical letters》2012,45(14):2037-2052
A rapid and simple flow injection (FI) method is reported for the determination of vitamin A (retinol) based on its strong enhancing effect on the Ce(IV)–Na2SO3 chemiluminescence (CL) reaction in an acidic solution. The effect of key chemical and physical parameters (i.e., reagent concentrations, flow rate, and sample volume) was optimized and potential interferences examined. Under the selected experimental conditions, a linear calibration was obtained between the CL intensity and vitamin A concentration in the range 0.1–8.0 µg mL?1 (r 2 = 0.9986, n = 8). The limit of detection (3 s x blank) was 0.01 µg mL?1 retinol (n = 6) and the relative standard deviation (RSD) for 0.25 µg mL?1 retinol was 2.3% (n = 10) with a sampling rate of 180 h?1. The method was successfully applied to infant milk-based formulas and pharmaceutical formulations and the results were not significantly different at 95% confidence interval with those obtained by using a spectrophotometric reference method. The possible CL mechanism is also discussed briefly supporting with UV-visible, fluorescence, and CL spectra. 相似文献
175.
176.
177.
This article generalizes the formulas of Gauss-Ostrogradskii type for semibasic vector fields from Riemannian manifolds to real Finsler manifolds and obtains some formulas of Gauss-Ostrogradskii type for Finsler vector fields which are expressed in terms of the vertical and horizontal derivatives of the Cartan connection in real Finsler manifolds. 相似文献
178.
The new improved directional vector simulation method for analyzing the reliability of structural systems failure probability
is researched. This paper also points out the defects of general directional vector simulation, and gives rise to a new higher
accuracy approximate integral formula of structural systems failure probability. A new geometric meaning of characteristic
function is obtained. A new simple method of generating uniformly distributed random vector samples inn-dimensional unit hyper-spherical surface is put forward and strictly proved. This method is easy to put into practice. Numerical
examples are given to show the applicability and effectiveness of the suggested approach to structural systems reliability
problems.
Supported by Chinese Postdoctor Fund([1998]6, 23). 相似文献
179.
The authors obtain a holomorphic Lefschetz fixed point formula for certain non-compact "hyperbolic" K(a)hler manifolds (e.g. K(a)hler hyperbolic manifolds, bounded domains of holomorphy) by using the Bergman kernel. This result generalizes the early work of Donnelly and Fefferman. 相似文献
180.
本文采用了一例特定的Lyapunov函数,来研究带Markov调制的随机微分延迟方程的p阶指数稳定性,并对其几乎必然指数稳定性也进行了探讨. 相似文献